Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations
By: Victor A. Galaktionov, University of Bath, UK ; Enzo L. Mitidieri, Universita' degli Studi di Trieste, Italy ; Stanislav I. Pohozaev, Steklov Institute of Mathematics, Moscow, Russia
Contributors: Mitidieri, Enzo, author; Pokhozhaev, S. I., author
Series: Monographs and research notes in mathematics; Monographs and research notes in mathematics
Publisher: CRC Press, Taylor & Francis Group
Published: 2015
Place of publication: Boca Raton
Language: eng
Number of pages: 543
ISBN-13: 9781482251722; 9781482251739
Copyright date: 2015
Subjects: Partial Differential equations
Notes: Includes bibliographical references (pages 515-535) and index.

Also available in electronic format.
Table of contents: title: 1. Complicated self-similar blow-up, compacton, and standing wave patterns for four nonlinear PDEs: a unified variational approach to elliptic equations; title: 2. Classification of global sign-changing solutions of semilinear heat equations in the subcritical Fujita range: second- and higher-order diffusion; title: 3. Global and blow-up solutions for Kuramoto-Sivashinsky, Navier-Stokes, and Burnett equations; title: 4. Regional, single-point, and global blow-up for a fourth- order porous medium-type equation with source; title: 5. Semilinear fourth-order hyperbolic equation: two types of blow-up patterns; title: 6. Quasilinear fourth-order hyperbolic Boussinesq equation : shock, rarefaction, and fundamental solutions; title: 7. Blow-up and global solutions for Korteweg-de Vries-type equations; title: 8. Higher-order nonlinear dispersion PDEs : shock, rarefaction, and blow-up waves; title: 9. Higher-order Schrödinger equations : from"blow-up" zero structures to quasilinear operators.